Sadlier Chapter 5 Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

How do you solve the inequality z ≤ 9?

Back

To solve z ≤ 9, you find all values of z that are less than or equal to 9.

Front

What does the solution x = 10 represent?

Back

The solution x = 10 indicates that the value of x is exactly 10.

Front

How do you isolate x in the equation 3x = 7.5?

Back

To isolate x, divide both sides of the equation by 3. Thus, x = 7.5 / 3 = 2.5.

Front

What is the graph of x ≤ 5?

Back

The graph of x ≤ 5 includes all points to the left of 5 on a number line, including 5 itself.

Front

How do you solve the equation y/3 = 12?

Back

To solve for y, multiply both sides by 3. Thus, y = 12 * 3 = 36.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What is the difference between '>' and '≥'?

Back

'>' means 'greater than' (not including the number), while '≥' means 'greater than or equal to' (including the number).

Front

How do you express the solution to an inequality graphically?

Back

You express the solution to an inequality graphically by shading the region of the number line that satisfies the inequality.

Front

What is the solution set for the inequality z > 9?

Back

The solution set for z > 9 includes all values greater than 9.